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9980109900 = 2233523799901
BaseRepresentation
bin10010100101101110…
…00110010001001100
3221202112100010001000
421102313012101030
5130414402004100
64330152220300
7502213351215
oct112267062114
927675303030
109980109900
11426156a312
121b2639a690
13c30845097
146a966640c
153d627e900
hex252dc644c

9980109900 has 144 divisors (see below), whose sum is σ = 32951675680. Its totient is φ = 2589408000.

The previous prime is 9980109859. The next prime is 9980109911. The reversal of 9980109900 is 99010899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49950 + ... + 149850.

Almost surely, 29980109900 is an apocalyptic number.

9980109900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 99900×99901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9980109900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475837840).

9980109900 is an abundant number, since it is smaller than the sum of its proper divisors (22971565780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9980109900 is a wasteful number, since it uses less digits than its factorization.

9980109900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99961 (or 99948 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 9980109900 is about 99900.4999987488. The cubic root of 9980109900 is about 2153.0053445709.

The spelling of 9980109900 in words is "nine billion, nine hundred eighty million, one hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900 99901 199802 299703 399604 499505 599406 899109 999010 1198812 1498515 1798218 1998020 2497525 2697327 2997030 3596436 3696337 4495545 4995050 5394654 5994060 7392674 7492575 8991090 9990100 10789308 11089011 13486635 14785348 14985150 17982180 18481685 22178022 22477725 26973270 29970300 33267033 36963370 44356044 44955450 53946540 55445055 66534066 67433175 73926740 89910900 92408425 99801099 110890110 133068132 134866350 166335165 184816850 199602198 221780220 269732700 277225275 332670330 369633700 399204396 499005495 554450550 665340660 831675825 998010990 1108901100 1663351650 1996021980 2495027475 3326703300 4990054950 9980109900